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For this problem, consider the two systems of linear equations: Ax = b and Ay = c with [1 2 - 1 2 3 A = 0 2 4 1 15 b = 35 3 c = and 4 1 2 4 30 (a) Calculate the LU factorization A = LU by hand. Then calculate the exact solutions x and y by solving the resulting triangular systems.

For this problem, consider the two systems of linear equations: Ax = b and Ay = c with [1 2 - 1 2 3 A = 0 2 4 1 15 b = 35 3 c = and 4 1 2 4 30 (a) Calculate the LU factorization A = LU by hand. Then calculate the exact solutions x and y by solving the resulting triangular systems.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For this problem, consider the two systems of linear equations: Ax = b and Ay = c with | 1 2 - 1 3 3 4 1 15 b = 35 3 c = and A = 0 2 5 4 1 3 4 30 3 (a) Calculate the LU factorization A = LU by hand. Then calculate the exact solutions x and y by solving the resulting triangular systems.
Transcribed Image Text:For this problem, consider the two systems of linear equations: Ax = b and Ay = c with | 1 2 - 1 3 3 4 1 15 b = 35 3 c = and A = 0 2 5 4 1 3 4 30 3 (a) Calculate the LU factorization A = LU by hand. Then calculate the exact solutions x and y by solving the resulting triangular systems.
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